212101102101253 has 2 divisors, whose sum is σ = 212101102101254. Its totient is φ = 212101102101252.

The previous prime is 212101102101157. The next prime is 212101102101269. The reversal of 212101102101253 is 352101201101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155439005080324 + 56662097020929 = 12467518^2 + 7527423^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101102101253 - 2¹³ = 212101102093061 is a prime.

It is a super-2 number, since 2×212101102101253² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212101102101293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050551050626 + 106050551050627.

It is an arithmetic number, because the mean of its divisors is an integer number (106050551050627).

Almost surely, 2^{212101102101253} is an apocalyptic number.

It is an amenable number.

212101102101253 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101102101253 is an equidigital number, since it uses as much as digits as its factorization.

212101102101253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 212101102101253 its reverse (352101201101212), we get a palindrome (564202303202465).

The spelling of 212101102101253 in words is "two hundred twelve trillion, one hundred one billion, one hundred two million, one hundred one thousand, two hundred fifty-three".